a. Explanation Given information: The given graph is shown below. The graph shows the budget and the total cost of x gallons of gasoline and a car wash. Calculations: From the given graph it can be easily understood that the budget is $ 40 . The horizontal line above the X axis shows the budget. The line Y = 3.55 x + 8 shows the expenditure. b. To determine The cost of one gallon of gasoline and a car wash. Explanation Given information: Given information: The given graph is shown below. The graph shows the budget and the total cost of x gallons of gasoline and a car wash. Calculations: From the given graph it can be easily understood that the budget is $ 40 . The horizontal line above the X axis shows the budget. The line Y = 3.55 x + 8 shows the expenditure. In the line, Y = 3.55 x + 8 , Here, x shows the quantity of gasoline bought and 3.55 is the cost of per gallon of gasoline. Also 8 shows the cost one car wash. c. To determine An inequality that represents the possible amount of gasoline that can be bought. Explanation Given information: The given graph is shown below. The graph shows the budget and the total cost of x gallons of gasoline and a car wash. Calculations: From the given graph it can be easily understood that the budget is $ 40 . The horizontal line above the X axis shows the budget. The line Y = 3.55 x + 8 shows the expenditure. Now an inequality can be written as, the expenditure should be less than or equal to the budget. Thus we can write, 3.55 x + 8 ≤ 40 d. To determine The solution of the inequality using the graph. Explanation Given information: The given graph is shown below. The graph shows the budget and the total cost of x gallons of gasoline and a car wash. Calculations: From the given graph it can be easily understood that the budget is $ 40 . The horizontal line above the X axis shows the budget. The line Y = 3.55 x + 8 shows the expenditure. Now an inequality can be written as, the expenditure should be less than or equal to the budget. Thus we can write, 3.55 x + 8 ≤ 40 Now we solve the inequality. 3.55 x + 8 ≤ 40 3.55 x ≤ 40 − 8 3.55 x ≤ 32 x ≤ 32 3.55 x ≤ 9.014 Thus we can say that a maximum of 9.014 gallons of gasoline can be bought in the given budget.

BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015

1st Edition

ISBN: 9781608408382

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 2.4, Problem 36E

To determine

The amount of budget from the given graph.

Expert Solution

Explanation of Solution

Given information:

The given graph is shown below.

BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015, Chapter 2.4, Problem 36E , additional homework tip 1

The graph shows the budget and the total cost of x gallons of gasoline and a car wash.

Calculations:

From the given graph it can be easily understood that the budget is $40 .

The horizontal line above the X axis shows the budget.

The line Y=3.55x+8 shows the expenditure.

To determine

The cost of one gallon of gasoline and a car wash.

Expert Solution

Explanation of Solution

Given information:

The given graph is shown below.

BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015, Chapter 2.4, Problem 36E , additional homework tip 2

The graph shows the budget and the total cost of x gallons of gasoline and a car wash.

Calculations:

From the given graph it can be easily understood that the budget is $40 .

The horizontal line above the X axis shows the budget.

The line Y=3.55x+8 shows the expenditure.

In the line, Y=3.55x+8 ,

Here, x shows the quantity of gasoline bought and 3.55 is the cost of per gallon of gasoline.

Also 8 shows the cost one car wash.

To determine

An inequality that represents the possible amount of gasoline that can be bought.

Expert Solution

Explanation of Solution

Given information:

The given graph is shown below.

BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015, Chapter 2.4, Problem 36E , additional homework tip 3

The graph shows the budget and the total cost of x gallons of gasoline and a car wash.

Calculations:

From the given graph it can be easily understood that the budget is $40 .

The horizontal line above the X axis shows the budget.

The line Y=3.55x+8 shows the expenditure.

Now an inequality can be written as, the expenditure should be less than or equal to the budget.

Thus we can write,

3.55x+8≤40

To determine

The solution of the inequality using the graph.

Expert Solution

Explanation of Solution

Given information:

The given graph is shown below.

BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015, Chapter 2.4, Problem 36E , additional homework tip 4

The graph shows the budget and the total cost of x gallons of gasoline and a car wash.

Calculations:

From the given graph it can be easily understood that the budget is $40 .

The horizontal line above the X axis shows the budget.

The line Y=3.55x+8 shows the expenditure.

Now an inequality can be written as, the expenditure should be less than or equal to the budget.

Thus we can write,

3.55x+8≤40

Now we solve the inequality.

3.55x+8≤403.55x≤40−83.55x≤32x≤323.55x≤9.014

Thus we can say that a maximum of 9.014 gallons of gasoline can be bought in the given budget.

Chapter 2.4, Problem 35E

Chapter 2.4, Problem 37E

Chapter 2 Solutions

BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015

Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E

Ch. 2.1 - Prob. 11E Ch. 2.1 - Prob. 12E Ch. 2.1 - Prob. 13E Ch. 2.1 - Prob. 14E Ch. 2.1 - Prob. 15E Ch. 2.1 - Prob. 16E Ch. 2.1 - Prob. 17E Ch. 2.1 - Prob. 18E Ch. 2.1 - Prob. 19E Ch. 2.1 - Prob. 20E Ch. 2.1 - Prob. 21E Ch. 2.1 - Prob. 22E Ch. 2.1 - Prob. 23E Ch. 2.1 - Prob. 24E Ch. 2.1 - Prob. 25E Ch. 2.1 - Prob. 26E Ch. 2.1 - Prob. 27E Ch. 2.1 - Prob. 28E Ch. 2.1 - Prob. 29E Ch. 2.1 - Prob. 30E Ch. 2.1 - Prob. 31E Ch. 2.1 - Prob. 32E Ch. 2.1 - Prob. 33E Ch. 2.1 - Prob. 34E Ch. 2.1 - Prob. 35E Ch. 2.1 - Prob. 36E Ch. 2.1 - Prob. 37E Ch. 2.1 - Prob. 38E Ch. 2.1 - Prob. 39E Ch. 2.1 - Prob. 40E Ch. 2.1 - Prob. 41E Ch. 2.1 - Prob. 42E Ch. 2.1 - Prob. 43E Ch. 2.1 - Prob. 44E Ch. 2.1 - Prob. 45E Ch. 2.1 - Prob. 46E Ch. 2.1 - Prob. 47E Ch. 2.1 - Prob. 48E Ch. 2.1 - Prob. 49E Ch. 2.1 - Prob. 50E Ch. 2.1 - Prob. 51E Ch. 2.1 - Prob. 52E Ch. 2.1 - Prob. 53E Ch. 2.1 - Prob. 54E Ch. 2.1 - Prob. 55E Ch. 2.1 - Prob. 56E Ch. 2.1 - Prob. 57E Ch. 2.1 - Prob. 58E Ch. 2.1 - Prob. 59E Ch. 2.1 - Prob. 60E Ch. 2.1 - 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